wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let A and B be two events such thatP(¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB)=16, P(AB)=14 and P(¯¯¯¯A)=14 , where ¯¯¯¯A stands for the complement of the event A. Then the events A and B are

A
mutually exclusive and independent
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
equally likely but not independent
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
independent but not equally likely
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
independent and eqaully likely
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C independent but not equally likely
Given: P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB)=16, P(AB)=14 and P(¯¯¯¯A)=14
Since, P(AB)=1P(¯¯¯¯¯¯¯¯¯¯¯¯¯¯AB)=116=56
and, P(A)=1P(¯¯¯¯A)=34
Now, P(AB)=P(A)+P(B)P(AB)
56=34+P(B)14
P(B)=13
P(A)P(B), So not equally likely
Now, P(A)P(B)=1334
P(A)P(B)=14=P(AB)
Hence, events A and B are independent but not equally likely

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon